Failure of Calderón-Zygmund estimates for degenerate elliptic PDEs with $A_p$-weights when $p > 2$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910222693433344 |
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| author | Schikorra, Armin Ulmer, Martin |
| author_facet | Schikorra, Armin Ulmer, Martin |
| contents | We use convex integration techniques to provide examples of failure of weighted Calderón-Zygmund estimates for degenerate linear elliptic PDEs when the weights are in $A_p$, $p > 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15414 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Failure of Calderón-Zygmund estimates for degenerate elliptic PDEs with $A_p$-weights when $p > 2$ Schikorra, Armin Ulmer, Martin Analysis of PDEs 35J70, 35R05 We use convex integration techniques to provide examples of failure of weighted Calderón-Zygmund estimates for degenerate linear elliptic PDEs when the weights are in $A_p$, $p > 2$. |
| title | Failure of Calderón-Zygmund estimates for degenerate elliptic PDEs with $A_p$-weights when $p > 2$ |
| topic | Analysis of PDEs 35J70, 35R05 |
| url | https://arxiv.org/abs/2605.15414 |